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Finding the Fourth Proportional to 3,884.78, 5,827.90 and 2,035.38

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Solution

The fourth proportional to 3,884.78, 5,827.90 and 2,035.38 is: 3,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.78 : 5,827.90 = 2,035.38 : x
  2. Step 2: Convert to fraction form
    3,884.78/5,827.90 = 2,035.38/x
  3. Step 3: Cross multiply
    3,884.78x = 5,827.90 × 2,035.38
  4. Step 4: Simplify right side
    3,884.78x = 11,861,991.10
  5. Step 5: Solve for x
    x = 11,861,991.10/3,884.78
  6. Step 6: Final answer
    x = 3,053.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.